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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
92% (01:53) correct
8%
(01:57)
wrong
based on 39
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A survey of seniors and juniors at a small college revealed 50 are seniors who live off-campus. How many students were surveyed?
(1) 80 of the students surveyed are seniors and the rest are juniors.
(2) 120 of the students surveyed live off campus and the rest live on campus.
(1) 80 of the students surveyed are seniors and the rest are juniors.
(2) 120 of the students surveyed live off campus and the rest live on campus.
26 Jan 2026, 04:15
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A survey of seniors and juniors at a small college revealed 50 are seniors who live off-campus. How many students were surveyed?
(1) 80 of the students surveyed are seniors and the rest are juniors.
(2) 120 of the students surveyed live off campus and the rest live on campus.
Given: Out of the senior and junior students at a college, 50 are senior off-campus students. Now, we do not know how many junior off-campus and on-campus students are present. We also do know the number of on-campus senior students. The sum total of all these values should give us the total number of students surveyed.
Now, let's look at each statement individually and then at both of them together (if required):
Statement 1: 80 of the students surveyed are seniors and the rest are juniors.
We know: Senior off-campus students = 50
Thus, Senior on-campus students = 30
However, we still do not know the number of junior students surveyed. Hence, Statement 1 is insufficient alone.
Now, let's take a look at Statement 2 closely:
Statement 2: 120 of the students surveyed live off campus and the rest live on campus.
As the number of senior off-campus students is 50, the number of junior off-campus students should be 70. However, we do not know anything about the number of students living on-campus.
Hence, Statement 2 is insufficient alone.
Now, let's look at the combination of Statements 1 and 2:
Senior off-campus students = 50
Senior on-campus students = 30
Junior off-campus students = 70
However, we still do not know anything about the number of Junior on-campus students. Hence, the correct answer is Option E - Neither statement alone nor together is sufficient.
Hope this helps!
(1) 80 of the students surveyed are seniors and the rest are juniors.
(2) 120 of the students surveyed live off campus and the rest live on campus.
Given: Out of the senior and junior students at a college, 50 are senior off-campus students. Now, we do not know how many junior off-campus and on-campus students are present. We also do know the number of on-campus senior students. The sum total of all these values should give us the total number of students surveyed.
Now, let's look at each statement individually and then at both of them together (if required):
Statement 1: 80 of the students surveyed are seniors and the rest are juniors.
We know: Senior off-campus students = 50
Thus, Senior on-campus students = 30
However, we still do not know the number of junior students surveyed. Hence, Statement 1 is insufficient alone.
Now, let's take a look at Statement 2 closely:
Statement 2: 120 of the students surveyed live off campus and the rest live on campus.
As the number of senior off-campus students is 50, the number of junior off-campus students should be 70. However, we do not know anything about the number of students living on-campus.
Hence, Statement 2 is insufficient alone.
Now, let's look at the combination of Statements 1 and 2:
Senior off-campus students = 50
Senior on-campus students = 30
Junior off-campus students = 70
However, we still do not know anything about the number of Junior on-campus students. Hence, the correct answer is Option E - Neither statement alone nor together is sufficient.
Hope this helps!
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